Charles Greathouse on Mon, 12 Jul 2010 15:17:12 +0200 |
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Re: Dirichlet L-Functions |
Henri Cohen, in response to my original message, sent me his Lsimpquad_c script. It looks similar to Lquad from http://www.math.u-bordeaux1.fr/~belabas/pari/scripts/cohen.gp ; I will compare them, as well as Dokchitser's (presumably less similar) script. Since it looks like something better is coming, I won't spend too much time converting them to C -- I'll just gp2c, type-specialize, and glance at the inner loop. Thanks! Charles Greathouse Analyst/Programmer Case Western Reserve University On Mon, Jul 12, 2010 at 8:04 AM, Karim Belabas <Karim.Belabas@math.u-bordeaux1.fr> wrote: > * Charles Greathouse [2010-07-09 18:04]: >> 1. Is there a good way to compute a Dirichlet L-function in Pari? In >> particular, I'd like to calculate one with chi = kronecker(D, p) and >> fixed D and s. > > There are two "simple" ways, both available in the archive of > Contributed GP scripts, > > http://www.math.u-bordeaux1.fr/~belabas/pari/scripts/ > > Specifically, item #2 (by Henri Cohen): > > http://www.math.u-bordeaux1.fr/~belabas/pari/scripts/cohen.gp > > and #3 (by Tim Dokchitser) > > http://maths.dur.ac.uk/~dma0td/computel/ > >> 2. (Encroaching on pari-dev) If the answer to #1 is negative, and I >> write a function implementing it, should I submit it for inclusion in >> future versions? > > Pascal Molin, a student of mine, is working on a more general > implementation of Dokchitser's script (with new ideas of his, as well as > from Booker, Rubinstein, and others), which will be directly available > in the PARI/GP package. > > If you devise specific improvements to script #2 above, you may send > patches to me. (Script #3 is maintained directly by Tim Dokchitser.) > > Cheers, > > K.B. > -- > Karim Belabas, IMB (UMR 5251) Tel: (+33) (0)5 40 00 26 17 > Universite Bordeaux 1 Fax: (+33) (0)5 40 00 69 50 > 351, cours de la Liberation http://www.math.u-bordeaux1.fr/~belabas/ > F-33405 Talence (France) http://pari.math.u-bordeaux1.fr/ [PARI/GP] > `